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Simplifying -6(x + 2) = 4x + -8 + 2(4x + 3) Reorder the terms: -6(2 + x) = 4x + -8 + 2(4x + 3) (2 * -6 + x * -6) = 4x + -8 + 2(4x + 3) (-12 + -6x) = 4x + -8 + 2(4x + 3) Reorder the terms: -12 + -6x = 4x + -8 + 2(3 + 4x) -12 + -6x = 4x + -8 + (3 * 2 + 4x * 2) -12 + -6x = 4x + -8 + (6 + 8x) Reorder the terms: -12 + -6x = -8 + 6 + 4x + 8x Combine like terms: -8 + 6 = -2 -12 + -6x = -2 + 4x + 8x Combine like terms: 4x + 8x = 12x -12 + -6x = -2 + 12x Solving -12 + -6x = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + -6x + -12x = -2 + 12x + -12x Combine like terms: -6x + -12x = -18x -12 + -18x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -18x = -2 + 0 -12 + -18x = -2 Add '12' to each side of the equation. -12 + 12 + -18x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -18x = -2 + 12 -18x = -2 + 12 Combine like terms: -2 + 12 = 10 -18x = 10 Divide each side by '-18'. x = -0.5555555556 Simplifying x = -0.5555555556
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